JAEA-Conf 2011-002 - 日本原子力研究開発機構

are absorbed. The second (third) term on r.h.s. represents the process in which only proton
(neutron) is absorbed. Note that the contribution of the fourth term is negligible. Thus, if we
take just the second term, we can obtain the cross section of the inclusive (d, nx) process.
The point is how to determine the absorbing radii. In Ref. [19] we use the result of theoretical
analysis of the 7 Li(d, nx) reaction at 40 MeV; we analyzed in Ref. [20] the double differential
cross section data [21] by summing up the elastic breakup cross section calculated with CDCC
and the stripping cross section calculated with the Glauber model. The data are reproduced very
well with no free parameter, except for the contribution of the preequilibrium and evaporation
processes that are negligible where the stripping process is important. Thus, we conclude that
the integrated value of the stripping cross section calculated with the Glauber model can be
regarded as an experimental value. The absorbing radii are fixed to reproduce this value at 40
MeV.
σ [mb]
1000
800
600
400
200
σ TF
σ CF
0
0 10 20 30 40 50
E d L [MeV]
(p)
σIF (n)
σIF σEB Figure 4: Results of the total fusion
cross section σTF (dash-double-dotted
line), complete fusion cross section σCF
(solid line), proton-absorbed cross sec-
tion σ (p)
IF
(dashed line) and neutron-
absorbed cross section σ (n)
IF (dash-dotted
line) for the deuteron induced reaction
on 7Li as a function of the deuteron incident
energy EL d . The dotted line represents
the elastic breakup cross sections
calculated with CDCC.
We show in Fig. 4 the result of the inclusive breakup cross sections as a function of the
deuteron incident energy. The dashed (dash-dotted) line shows the proton-absorbed (neutronabsorbed)
cross section and the solid line is the complete fusion cross section. These three values
are comparable above 30 MeV, and much larger than the elastic breakup cross section shown by
the dotted line. Another finding is the energy dependence of the dashed and dash-dotted lines
is very different at low energies. This difference comes from different energy dependence of the
proton and neutron optical potentials [22, 23] adopted.
Description of the double-differential cross sections of inclusive processes with CDCC will be
important future work. For this purpose, recently we have developed Eikonal Reaction Theory
(ERT) [24]. Results of calculation with ERT will be soon reported.
4 Summary
In this paper, some recent studies on breakup reactions by means of the continuum-discretized
coupled-channels method (CDCC) are briefly reviewed. Future plans described in the preceding
subsections will be very important for further understanding of the reaction mechanisms of
unstable nuclei.
References
JAEA-Conf 2011-002
[1] M. Kamimura, M. Yahiro, Y. Iseri, Y. Sakuragi, H. Kameyama, and M. Kawai, Prog. Theor.
Phys. Suppl. 89, 1 (1986).